arXiv research

Study 6D localized matter spectrum on singular Calabi-Yau 3-folds.

Abstract M5 branes on ADE singularities yields BPS spectrum and partition functions.

Extended symmetries and anomalies in compactified 6d SCFTs on various internal manifolds.

Paper uses machine learning to detect dark matter subhalos in simulated Gaia DR2 data.

We show that 3D gravity, in its pure connection formulation, admits a natural 6D interpretation. The 3D field equations for the connection are equivalent to 6D Hitchin equations for the Chern-Simons 3-form in the total space of the principal bundle over the 3-dimensional base. Turning this construction around one gets …

A grand challenge of the 21st century cosmology is to accurately estimate the cosmological parameters of our Universe. A major approach to estimating the cosmological parameters is to use the large-scale matter distribution of the Universe. Galaxy surveys provide the means to map out cosmic large-scale structure in thr…

The full 6d Hopf-Wess-Zumino term in the action functional for the M5-brane is anomalous as traditionally defined. What has been missing is a condition implying the higher analogue of level quantization familiar from the 2d Wess-Zumino term. We prove that the anomaly cancellation condition is implied by the hypothesis …

The abstract discusses fiber sum formulas for 4-manifolds using topological modular forms.

We compute the equivariant elliptic genera of several classes of ALE and ALF manifolds using localization in gauged linear sigma models. In the sigma model computation the equivariant action corresponds to chemical potentials for U(1) currents and the elliptic genera exhibit interesting pole structure as a function of …

Enhances weak lensing inference with neural summaries.

Generic low-entropy hypersurfaces in 4-6D flow with only generic singularities.

We introduce Contrastive Multivariate Singular Spectrum Analysis, a novel unsupervised method for dimensionality reduction and signal decomposition of time series data. By utilizing an appropriate background dataset, the method transforms a target time series dataset in a way that evinces the sub-signals that are enhan…

M-theory compactified on $G_2$-holonomy manifolds results in 4d $\mathcal{N}=1$ supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a partially twisted 7d super Yang-Mills theory on a supersymmetric three-cycle…

The paper proves transversality for special Lagrangian submanifolds in a 6D manifold.

The paper derives curvature identities for 5D and 6D Einstein manifolds.

We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).

Criterion found for blowing down in 6D symplectic geometry.

We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1,0) theories on 4-manifolds with flavor symmetry backgrounds. The effective 2d theory has (0,1) supersymmetry and, possibly, a residual flavor symmetry. …

Study shows current simulations are insufficient for optimal neural network training in cosmology.

In this note we find the metric of 6-dimensional h-space of the [33] type and then determine an important projective group characteristic of this h-space.

We establish a lower bound for the real eigenvalues of a Laplace-Beltrami operator with an $L^\infty$-drift term. We make no assumptions that the operator is self-adjoint or that the drift has any additional regularity. In the case where the operator is self-adjoint, this establishes a lower bound on the spectrum witho…

CHARM creates mock halo catalogs from dark matter density fields using neural networks.

Running hydrodynamical simulations to produce mock data of large-scale structure and baryonic probes, such as the thermal Sunyaev-Zeldovich (tSZ) effect, at cosmological scales is computationally challenging. We propose to leverage the expressive power of deep generative models to find an effective description of the l…

We study the six-dimensional pseudo-Riemannian spaces with two time-like coordinates that admit non-homothetic infinitesimal projective transformations. The metrics are manifestly obtained and the projective group properties are determined. We also find a generic defining of projective motion in the 6-dimensional rigid…

We introduce SARR for symmetric object pose estimation, improving CNN performance.

Flat stable minimal hypersurfaces found in 6D space.

Study of ants' movement rules on a 6D space, revealing distribution structures and singular trajectories.

Study simplifies homotopy groups of 6D manifolds.

Flat stable minimal hypersurfaces in 5 or 6D are always flat.

Found a 6D Lie group with a closed geodesic.

We explore a model of dark matter called wave dark matter (also known as scalar field dark matter and boson stars) which has recently been motivated by a new geometric perspective by Bray. Wave dark matter describes dark matter as a scalar field which satisfies the Einstein-Klein-Gordon equations. These equations rely …

Local supertwistors help study 6D conformal supergravity.

Classifies multigraphs for torus actions on 6D manifolds with isolated fixed points.

Study how past eon's matter affects present eon in Penrose's cyclic cosmology.

Neural net reconstructs dark matter density from halo velocities.

We give a method to construct Calabi-Yau metrics on G-invariant vector bundles over Kahler coset spaces G/H using supersymmetric nonlinear realizations with matter coupling. As a concrete example we discuss the CP^N model coupled with matter. The canonical line bundle is reproduced by the singlet matter and the cotange…

Study investigates Einstein flow stability and convergence with matter sources.

We found a 6D manifold with specific geometric properties.

Throughout the literature on the charged Riemannian Penrose inequality, it is generally assumed that there is no charged matter present; that is, the electric field is divergence-free. The aim of this article is to clarify when the charged Riemannian Penrose inequality holds in the presence of charged matter, and when …

Study on solutions near isolated singularities in 6D Yamabe equation.

Tract-specific diffusion measures, as derived from brain diffusion MRI, have been linked to white matter tract structural integrity and neurodegeneration. As a consequence, there is a large interest in the automatic segmentation of white matter tract in diffusion tensor MRI data. Methods based on the tractography are p…

Paper proves stronger Penrose inequality with matter density.

Born Lie algebras classified up to 6D, with integrable metrics studied.

The paper calculates the noncommutative residue for a rescaled Dirac operator on 6D manifolds.

Probabilistic programming allows specification of probabilistic models in a declarative manner. Recently, several new software systems and languages for probabilistic programming have been developed on the basis of newly developed and improved methods for approximate inference in probabilistic models. In this contribut…

New method uses neural networks to infer dark matter subhalo abundance from stellar streams.

We study the twisted index of 4d $\mathcal{N}$ = 2 class S theories on a closed hyperbolic 3-manifold $M_3$. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine the …

Dark matter in the universe evolves through gravity to form a complex network of halos, filaments, sheets and voids, that is known as the cosmic web. Computational models of the underlying physical processes, such as classical N-body simulations, are extremely resource intensive, as they track the action of gravity in …